{
  "@id": "https://adi.heureka.digital/em-geometry",
  "name": "Electromagnetic Geometry (ADI)",
  "version": "1.0.0",
  "generated_at": "2026-05-13",
  "definition": "Two regular octagons sharing a centre and circumradius — one edge-up (electric, frequency-dominant), one apex-up (magnetic, wavelength-dominant) — generate a 16-edge polygon and three natural radii r_e < r_em < r_m, the electromagnetic curvature band. Coupled to 3D flow by cF = 1.852 (1 NM = 1.852 km).",
  "axioms": [
    "A1. Two regular octagons share a centre and a circumradius.",
    "A2. One octagon is edge-up (electric, frequency-dominant); the other is apex-up (magnetic, wavelength-dominant).",
    "A3. Their superposition forms a 16-edge polygon — the geometric precursor to the circle.",
    "A4. The construction yields three natural radii r_e < r_em < r_m, defining the electromagnetic curvature band.",
    "A5. The curvature factor cF = 1.852 (1 NM = 1.852 km) couples geometric curvature to 3D flow."
  ],
  "constants": {
    "cF": 1.852,
    "cF_unit": "km/NM",
    "R_earth_sun": 365.7881901,
    "R_earth_sun_formula": "sqrt(24^2 + 365^2)",
    "ratio_r_e_over_R": 0.923879532,
    "ratio_r_em_over_R": 0.941979403,
    "ratio_r_m_over_R": 1.0
  },
  "predictions": [
    "Any electromagnetic process inscribed in this geometry occupies the band [r_e, r_m].",
    "The coupling radius r_em divides the band in the ratio cos(22.5°)/cos(11.25°) — fixed, scale-invariant.",
    "The 24:365 envelope (R = 365.7881901) is the unique radius unifying daily LIGHT and annual POWER on Earth.",
    "Replacing octagons with any other regular n-gon breaks the electric/magnetic symmetry — falsifies the construction."
  ],
  "tolerances": {
    "cF": {"value": 1.852, "abs": 1e-4},
    "R_earth_sun": {"value": 365.7881901, "abs": 1e-6},
    "ratio_r_em_over_r_e": {"value": 1.019591158, "abs": 1e-9}
  },
  "machine_readable": {
    "json":   "/em-geometry/em-geometry.json",
    "jsonld": "/em-geometry/em-geometry.jsonld",
    "csv":    "/em-geometry/em-geometry.csv",
    "md":     "/em-geometry/em-geometry.md",
    "svg":    "/em-geometry/em-geometry.svg",
    "manifest": "/em-geometry/manifest.json",
    "reproduce": "/em-geometry/reproduce/"
  }
}